Question
Download Solution PDFA bag contains only red, green and white balls. The probability of selecting a red ball from the bag at random is \(\frac{1}{3}\) and that of selecting a white ball at random is \(\frac{1}{2}\). If the bag contains 9 green balls, the total number of balls in the bag is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Probability of red ball = 1/3
Probability of white ball = 1/2
Formula Used:
Probability = (Number of successful outcomes/Total number of outcomes)
P(E) = (nE)/(nS), where nE = Number of events and nS = Number of sample space
Calculation:
Probability of getting green ball = 1 - (1/3 + 1/2)
⇒ 1 - 5/6 = 1/6
According to the question:
If one unit corresponds to 9 green balls then,
6 unit = 6 × 9 = 54
Total no. Of balls = 54
∴ The total number of balls in the bag is 54.
Last updated on May 9, 2025
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